The value of `a` for which the equation `(1-a^2)x^2+2ax-1=0` has roots belonging to `(0,1)` is

The value of 'a' for which the equation ax^(2)-2sqrt(5)x+4=0 has equal roots ,is

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

The values of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1 are given by

The value of a for which both the roots of the equation (1-a^(2))x^(2)+2ax-1=0 lie between 0 and 1, will always be greater than

Write the set of values of a'a' for which the equation x^(2)+ax-1=0 has real roots.

The least integral value of a'a' for which the equation x^(2)+2(a-1)x+(2a+1)=0 has both the roots positive,is